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3 years ago

Help me please urgent

Mathematics

1 answer:

asambeis [7]3 years ago

7 0

$Let \: x \: be \: the \: number \: of \: hours \\ Expession: - 4.5x = - 27\Leftrightarrow x = \frac{ - 27}{ - 4.5} = 6 \: hours$

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Question 10

Anna11 [10]

Answer:

6,000 dollars

Step-by-step explanation:

We first need to find out how much it would cost Danielle for a month if she chose the second option

200 + 40 = 240

240 x 30 = 7,200

Now that we know how much Danielle would pay if she chose the second option, now we need to find out how much she saved.

7,200 - 1,200 = 6,000

So Danielle saved 6,000 dollars by choosing the first option instead of the second one.

4 0

3 years ago

Divide 2x2 + 17x + 35 by x + 5.

rodikova [14]

Answer:529+17x

Step-by-step explanation:

2x2+17x+35x15 4+17x+ 525 529+17x

5 0

4 years ago

Given: ∆ABC, AB = BC, BM = MC AC = 40, m∠BAC = 42º Find: AM

Anna [14]

Answer:

The length of AM is 26.50 units.

Step-by-step explanation:

Given information: AB = BC, BM = MC , AC = 40, ∠BAC = 42º.

Since two sides of triangle are equal, therefore the triangle ABC is an isosceles triangle.

The corresponding angles of congruents sides are always equal. So angle C is 42º.

According to the angle sum property the sum of interior angles is 180º.

$\angle B=180-42-42=96$

Law of Sine

$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$

$\frac{\sinB}{AC}=\frac{\sin(C}{AB}$

$\frac{\sin(96)}{40}=\frac{\sin(42}{AB}$

$AB\sin(96)=40\sin(42)$

$AB=\frac{40\sin(42)}{\sin(96)}$

$AB=26.91$

Therefore the length of AB and BC is 26.91.

Since M is midpoint of BC, so

$BM=\frac{BC}{2}=\frac{26.91}{2}=13.455$

Use Law of Cosine in triangle ABM to find the value of AM.

$a^2=b^2+c^2-2bc\cos A$

$AM^2=AB^2+BM^2-2(AB)(BM)\cos (B)$

$AM^2=(26.91)^2+(13.455)^2-2(26.91)(13.455)\cos (96)$

$AM=26.50$

Therefore the length of AM is 26.50 units.

6 0

3 years ago

Multiply. Write your answer as a fraction in simplest form. 6 x 3/22

VARVARA [1.3K]

I got ya!!!,

The answer is 3/11

5 0

3 years ago

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What does the rational form of the ratio a:b look like

IrinaVladis [17]

Answer:

a/b

Step-by-step explanation:

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3 years ago

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